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Finding the Fourth Proportional to 3,688.80, 5,090.50 and 2,116.88

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Solution

The fourth proportional to 3,688.80, 5,090.50 and 2,116.88 is: 2,921.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688.80 : 5,090.50 = 2,116.88 : x
  2. Step 2: Convert to fraction form
    3,688.80/5,090.50 = 2,116.88/x
  3. Step 3: Cross multiply
    3,688.80x = 5,090.50 × 2,116.88
  4. Step 4: Simplify right side
    3,688.80x = 10,775,977.64
  5. Step 5: Solve for x
    x = 10,775,977.64/3,688.80
  6. Step 6: Final answer
    x = 2,921.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.